What is the theoretical probability of rolling a number lower than 7 on a fair number die

Mathematics

1 answer:

harina [27]3 years ago

4 0

<h3>Answer: Choice D</h3>

Explanation:

Rolling a number less than 7 is guaranteed to happen since all of the outcomes {1,2,3,4,5,6} are all less than 7. So we have a 100% probability here.

The number 100% converts to the decimal 1.00 or just 1 for short.

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A school wants to have a metal gate placed around it. However they only want to cover three sides of the school and they only ha

Fofino [41]

Answer:

Width = 139.445 ft and Length = 1721.11 ft or

Width = 860.555 ft and Length = 278.89 ft

Step-by-step explanation:

If the school has a rectangular shape, we have that its perimeter and area are:

Perimeter = 2*Length + 2*Width

Area = Length * Width

If we just want to cover 3 sides of the school, we can affirm that:

2000 = Length + 2*Width (eq1)

And the area is 240,000 ft2, so:

240000 = Length * Width (eq2)

From (eq1), we have that:

Length = 2000 - 2*Width

Using this value in (eq2), we have:

240000 = (2000 - 2*Width) * Width

240000 = 2000*Width - 2*Width^2

Width^2 - 1000*Width + 120000 = 0

Using Bhaskara's formula, we have:

Delta = 1000^2 - 120000*4 = 520000

sqrt(Delta) = 721.11

Width1 = (1000 + 721.11)/2 = 860.555 ft

Width2 = (1000 - 721.11)/2 = 139.445 ft

If we use Width = 139.445 ft, we will find Length = 1721.11 ft

If we use Width = 860.555 ft, we will find Length = 278.89 ft

Both pairs of dimensions are valid answers, as they would use 2000 feet of gate and the area of the school would be 240,000 ft2

3 0

3 years ago

Point C' is the image of C (-4,-2)under a reflection across the y-axis.

Furkat [3]

<u>Answer</u>:

The coordinates of point C' are (4, -2)

<u>here's</u> <u>why</u>:

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y). So if we use this information with the problem, the original coordinates, (-4, -2), the new coordinates will be (4, -2).

Hope this helped.

8 0

3 years ago

the rop of a table is in the shape of a trpezoid.it has height 1.5 feet and two parallel bases measure 3 feet and 5 feet.what is

alexandr1967 [171]